Let's solve the equation:
[tex]\[
\sqrt{x + 4} - 7 = 1
\][/tex]
Step 1: Isolate the square root term.
[tex]\[
\sqrt{x + 4} - 7 = 1 \implies \sqrt{x + 4} = 1 + 7
\][/tex]
Step 2: Simplify the right side of the equation.
[tex]\[
\sqrt{x + 4} = 8
\][/tex]
Step 3: Square both sides of the equation to eliminate the square root.
[tex]\[
(\sqrt{x + 4})^2 = 8^2 \implies x + 4 = 64
\][/tex]
Step 4: Solve for [tex]\(x\)[/tex] by isolating it on one side of the equation.
[tex]\[
x + 4 = 64 \implies x = 64 - 4 \implies x = 60
\][/tex]
Therefore, the solution to the equation [tex]\(\sqrt{x + 4} - 7 = 1\)[/tex] is:
[tex]\[
x = 60
\][/tex]
Among the given options, the correct answer is [tex]\(x = 60\)[/tex].
